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Lab Room | Apparatus Map | Strain Gauges | Theory of Operation

Theory of Operation

The operation of the resistance strain gauge is based on the principle that the electrical resistance of a conductor changes when it is subjected to a mechanical deformation, since the resistivity changes with a change in length and area.

The resistance of a conductor can be expressed as:

(1)     

where:

R is the resistance,
is the material resistivity,
L is the length of the conductor, and
A is the cross-sectional area of the conductor.

It can be shown that the change in resistance of a conductor is linearly related to the strain by:

(2)     
where:
[[epsilon]]axial is the axial strain (m/m),
F is the sensitivity of the strain gauge (gauge factor), and
R is the change in resistance.

In most cases, the values of F and R are provided by the manufacturer, and the user measures [[Delta]]R to determine the strain.

Since the typical change in resistance of a strain gauge is extremely small (~0.00024 ), sensitive instrumentation is required to measure the strain.


Last Updated: January 16, 2000, beam@bits.me.berkeley.edu
Copyright © 1993-1995, 2000, Pamela A. Eibeck and Brandon Muramatsu
Original WWW Conversion by Winston Wang, 1994
WWW ReConversion by Brandon Muramtasu, 2000